document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87592>Question 87592</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a square is 32 cm. Find the length of a diagonal. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63515 by </B><A HREF=/tutors/aboutme.mpl?userid=SandySharma><B>SandySharma(35)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SandySharma><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given perimeter = 32 cm\r<BR>\n" );
document.write( "\n" );
document.write( "perimeter of a square = 4a ( a is the length of the side oa a square)\r<BR>\n" );
document.write( "\n" );
document.write( "so 4a = 32\r<BR>\n" );
document.write( "\n" );
document.write( "therefore a = 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Diagonal%5E2+=+a%5E2+%2B+a%5E2 ALIGN=MIDDLE  ALT=\"+Diagonal%5E2+=+a%5E2+%2B+a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(by Pythagorean Theorem)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Diagonal+=+sqrt%28a%5E2+%2B+a%5E2%29 ALIGN=MIDDLE  ALT=\"+Diagonal+=+sqrt%28a%5E2+%2B+a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >(by Pythagorean Theorem)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Diagonal+=+sqrt%282a%5E2%29 ALIGN=MIDDLE  ALT=\"+Diagonal+=+sqrt%282a%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Diagonal+=+a%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"+Diagonal+=+a%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now put the value of a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+Diagonal+=+8sqrt%282%29 ALIGN=MIDDLE  ALT=\"+Diagonal+=+8sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Diagonal = 11.3 cm.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );